Email this article On the Number of Nontrivial Projective Transformations of Closed Manifolds
- Authors: Matveev V.S.1
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Affiliations:
- Friedrich-Schiller-Universität Jena
- Issue: Vol 223, No 6 (2017)
- Pages: 734-738
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239438
- DOI: https://doi.org/10.1007/s10958-017-3383-7
- ID: 239438
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Abstract
We show that for a closed Riemannian manifold the quotient of the group of projective transformations by the group of isometries contains at most two elements unless the metric has constant positive sectional curvature or every projective transformation is an affine transformation.
About the authors
V. S. Matveev
Friedrich-Schiller-Universität Jena
Author for correspondence.
Email: vladimir.matveev@uni-jena.de
Germany, Jena, 07737
